Title of article
Global asymptotic stability of nonautonomous systems of Liénard type
Author/Authors
Jitsuro Sugie ?، نويسنده , , 1 and Yusuke Amano، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2004
Pages
18
From page
673
To page
690
Abstract
This paper deals with nonautonomous Liénard-type systems. Sufficient conditions are given for the
zero solution of the systems to be globally asymptotically stable. The main result is proved by means
of phase plane analysis with a Liapunov function. Examples are included to contrast our theorem
with results which were presented by Hatvani and Cantarelli. Some global phase portraits are also
attached.
2003 Elsevier Inc. All rights reserved.
Keywords
Positive orbits , nonautonomous differential equations , Phase planeanalysis , Liénard system , Global asymptotic stability
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2004
Journal title
Journal of Mathematical Analysis and Applications
Record number
931020
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